Results 31 to 40 of about 4,765 (143)

Functional Evolution of Free Quantum Fields [PDF]

, 1999
We consider the problem of evolving a quantum field between any two (in general, curved) Cauchy surfaces. Classically, this dynamical evolution is represented by a canonical transformation on the phase space for the field theory.
Ashtekar A, Ashtekar A, Bleistein N, Bratteli O, Charles G Torre, Dirac P A M, Geroch R, Haag R, Helfer A, Kuchar K V, Kuchar K V, Kuchar K V, Madhavan Varadarajan, Reed M, Rovelli C, Shale D, Taylor M, Tomonaga S, Torre C G, Van Hove L, Wald R M, Wald R M   +21 more
core   +3 more sources

Low-Rank Inducing Norms with Optimality Interpretations

, 2018
Optimization problems with rank constraints appear in many diverse fields such as control, machine learning and image analysis. Since the rank constraint is non-convex, these problems are often approximately solved via convex relaxations.
Giselsson, Pontus, Grussler, Christian
core   +1 more source

Operator theory and function theory in Drury-Arveson space and its quotients [PDF]

, 2014
The Drury-Arveson space $H^2_d$, also known as symmetric Fock space or the $d$-shift space, is a Hilbert function space that has a natural $d$-tuple of operators acting on it, which gives it the structure of a Hilbert module.
A Arias, A Arias, A Athavale, A Athavale, A Beurling, A Volberg, AE Frazho, BVR Bhat, C Ambrozie, C Ambrozie, D Alpay, D Alpay, D Alpay, D Sarason, DC Greene, DW Kribs, E Tchoundja, F-H Vasilescu, G Popescu, G Popescu, G Popescu, G Popescu, G Popescu, G Popescu, GM Henkin, J Agler, J Agler, J Arazy, J Eschmeier, J Eschmeier, J Gleason, J Neumann von, JA Ball, JA Ball, JA Ball, JA Ball, JA Ball, JA Ball, JM Ortega, JW Bunce, K Guo, K Guo, KC Lin, KR Davidson, KR Davidson, KR Davidson, KR Davidson, KR Davidson, KR Davidson, L Carleson, L Carleson, M Andersson, M Hartz, M Kennedy, M Kerr, N Arcozzi, NTh Varopoulos, NTh Varopoulos, OM Shalit, OM Shalit, P Quiggin, PD Lax, PR Halmos, PS Muhly, PS Muhly, PS Muhly, Q Fang, Q Fang, RG Douglas, RG Douglas, RG Douglas, S Costea, S McCullough, S McCullough, S Richter, S Treil, SG Krantz, SW Drury, T Andô, TT Trent, V Bolotnikov, V Müller, W Rudin, WB Arveson, WB Arveson, WB Arveson, WB Arveson, WB Arveson, WB Arveson, WB Arveson, WB Arveson, WF Stinespring, X Fang, Z Chen   +93 more
core   +1 more source

Maximally dissipative and self‐adjoint extensions of K$K$‐invariant operators

Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract We introduce the notion of K$K$‐invariant operators, S$S$, in a Hilbert space, with respect to a bounded and boundedly invertible operator K$K$ defined via K∗SK=S$K^*SK=S$. Conditions such that self‐adjoint and maximally dissipative extensions of K$K$‐invariant symmetric operators are also K$K$‐invariant are investigated.
Christoph Fischbacher, Bart Rosenzweig, Jonathan Stanfill   +2 more
wiley   +1 more source

UNITARILY INVARIANT NORMS ON FINITE VON NEUMANN ALGEBRAS [PDF]

, 2018
John von Neumann’s 1937 characterization of unitarily invariant norms on the n × n matrices in terms of symmetric gauge norms on Cn had a huge impact on linear algebra. In 2008 his results were extended to Ifactor von Neumann algebras by J.
Fan, Haihui
core   +1 more source

Continuity bounds on the quantum relative entropy

, 2005
The quantum relative entropy is frequently used as a distance, or distinguishability measure between two quantum states. In this paper we study the relation between this measure and a number of other measures used for that purpose, including the trace ...
Bratteli O., Csiszar I., Jens Eisert, Koenraad M. R. Audenaert, Vedral V.   +4 more
core   +1 more source

Quantum Time‐Marching Algorithms for Solving Linear Transport Problems Including Boundary Conditions

International Journal for Numerical Methods in Engineering, Volume 127, Issue 8, 30 April 2026.
ABSTRACT This article presents the first complete application of a quantum time‐marching algorithm for simulating multidimensional linear transport phenomena with arbitrary boundaries, whereby the success probabilities are problem intrinsic. The method adapts the linear combination of unitaries algorithm to block encode the diffusive dynamics, while ...
Sergio Bengoechea, Paul Over, Thomas Rung   +2 more
wiley   +1 more source

Some inequalities for unitarily invariant norms [PDF]

Journal of Mathematical Inequalities, 2012
This paper aims to present some inequalities for unitarily invariant norms. In section 2, we give a refinement of the Cauchy-Schwarz inequality for matrices. In section 3, we obtain an improvement for the result of Bhatia and Kittaneh (Linear Algebra Appl. 308 (2000) 203-211).
openaire   +1 more source

Local Lidskii's theorems for unitarily invariant norms [PDF]

Linear Algebra and its Applications, 2018
arXiv admin note: text overlap with arXiv:1610 ...
Massey, Pedro Gustavo, Rios, Noelia Belén, Stojanoff, Demetrio   +2 more
openaire   +4 more sources

Metric Entropy of Homogeneous Spaces

, 1997
For a (compact) subset $K$ of a metric space and $\varepsilon > 0$, the {\em covering number} $N(K , \varepsilon )$ is defined as the smallest number of balls of radius $\varepsilon$ whose union covers $K$.
Szarek, Stanislaw J.
core   +3 more sources